followup small step-63 edits

diff --git a/examples/step-63/doc/intro.dox b/examples/step-63/doc/intro.dox
index f12dcad9a95b064dc41341bbe0aa1d2fa0f9df19..04a6fb1736b36aa88ee18734442fe333c6efb824 100644 (file)
--- a/examples/step-63/doc/intro.dox
+++ b/examples/step-63/doc/intro.dox
@@ -35,11 +35,10 @@ direction</i>, and $f$ is a source. A few notes:
 2. If $\varepsilon=0$ then this is the stationary advection equation solved in
 step-9.
 
-3. Define the <i>Peclet number</i>: $\mathcal{P}\coloneqq
-\|\boldsymbol{\beta}\| \cdot L/\varepsilon$. If $\mathcal{P}>1$, we say the
-problem is <i>advection-dominated</i>, else if $\mathcal{P}<1$ we will
-say the problem is <i>diffusion-dominated</i>. Here $L$ is the length
-scale of the domain.
+3. Define the <i>Peclet number</i>: $\mathcal{P}\:=\|\boldsymbol{\beta}\|
+\cdot L/\varepsilon$. If $\mathcal{P}>1$, we say the problem is
+<i>advection-dominated</i>, else if $\mathcal{P}<1$ we will say the problem is
+<i>diffusion-dominated</i>. Here $L$ is the length scale of the domain.
 
 For the discussion in this tutorial we will be concerned with
 advection-dominated flow. 

diff --git a/examples/step-63/doc/results.dox b/examples/step-63/doc/results.dox
index 76ca966d88265a91f0a15c0a9adcd46ac1d33fd1..c0136e509c1996ed6a1ece9138ad55e2791ed631 100644 (file)
--- a/examples/step-63/doc/results.dox
+++ b/examples/step-63/doc/results.dox
@@ -455,10 +455,10 @@ comparison of solve times for a $Q_3$ element with 74,496 DoFs:
 </tr>
 <tr>
   <th>74496</th>
-  <td>0.689 s</th>
-  <td>5.826 s</th>
-  <td>1.189 s</th>
-  <td>1.021 s</th>
+  <td>0.68s</th>
+  <td>5.82s</th>
+  <td>1.18s</th>
+  <td>1.02s</th>
 </tr>
 </table>
 

diff --git a/examples/step-63/step-63.cc b/examples/step-63/step-63.cc
index 4efa00baad363b6f3ef66fee5bbcf8e537ac130b..47654ac2ab027bfa5518296d58b1b01fc09c4bf7 100644 (file)
--- a/examples/step-63/step-63.cc
+++ b/examples/step-63/step-63.cc
@@ -450,7 +450,7 @@ namespace Step63
   // from <a
   // href="https://link.springer.com/chapter/10.1007/978-3-540-34288-5_27"> On
   // Discontinuity-Capturing Methods for Convection-Diffusion Equations by
-  // Volker John and Petr Knobloch</a>
+  // Volker John and Petr Knobloch</a>.
   template <int dim>
   double compute_stabilization_delta(const double         hk,
                                      const double         eps,